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What is the Least Common Multiple of 62849 and 62858?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62849 and 62858 is 3950562442.

LCM(62849,62858) = 3950562442

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Least Common Multiple of 62849 and 62858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62849 and 62858, than apply into the LCM equation.

GCF(62849,62858) = 1
LCM(62849,62858) = ( 62849 × 62858) / 1
LCM(62849,62858) = 3950562442 / 1
LCM(62849,62858) = 3950562442

Least Common Multiple (LCM) of 62849 and 62858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62849 and 62858. First we will calculate the prime factors of 62849 and 62858.

Prime Factorization of 62849

Prime factors of 62849 are 17, 3697. Prime factorization of 62849 in exponential form is:

62849 = 171 × 36971

Prime Factorization of 62858

Prime factors of 62858 are 2, 53, 593. Prime factorization of 62858 in exponential form is:

62858 = 21 × 531 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 62849 and 62858.

LCM(62849,62858) = 171 × 36971 × 21 × 531 × 5931
LCM(62849,62858) = 3950562442